Turkish Journal of Mathematics
Scattering and characteristic functions of a dissipative operator generated by a system of equations
Abstract
In this paper, we consider a system of first-order equations with the same eigenvalue parameter together with dissipative boundary conditions. Applying Lax-Phillips scattering theory and Sz.-Nagy-Foiaş model operator theory we prove a completeness theorem.
DOI
10.3906/mat-2108-76
Keywords
Boundary-value problem, dissipative operator, completeness theorem
First Page
2688
Last Page
2702
Recommended Citation
BAYRAM, E, TAŞ, K, & UĞURLU, E (2021). Scattering and characteristic functions of a dissipative operator generated by a system of equations. Turkish Journal of Mathematics 45 (6): 2688-2702. https://doi.org/10.3906/mat-2108-76
